High-order zero-dissipative Runge-Kutta-Nyström methods

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(98)00081-8 ◽

1998 ◽

Vol 95 (1-2) ◽

pp. 157-161 ◽

Author(s):

Ch. Tsitouras

Keyword(s):

Nyström Methods ◽

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High-order convergent deferred correction schemes based on parameterized Runge–Kutta–Nyström methods for second-order boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00603-8 ◽

2001 ◽

Vol 132 (1) ◽

pp. 107-125 ◽

Author(s):

T.Van Hecke ◽

M.Van Daele

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Deferred Correction ◽

Nyström Methods ◽

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Some procedures for the construction of high-order exponentially fitted Runge–Kutta–Nyström methods of explicit type

Computer Physics Communications ◽

10.1016/j.cpc.2012.12.018 ◽

2013 ◽

Vol 184 (4) ◽

pp. 1310-1321 ◽

Author(s):

J.M. Franco ◽

I. Gómez

Keyword(s):

Nyström Methods ◽

Exponentially Fitted ◽

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High-Order Symplectic Runge–Kutta–Nyström Methods

SIAM Journal on Scientific Computing ◽

10.1137/0914073 ◽

1993 ◽

Vol 14 (5) ◽

pp. 1237-1252 ◽

Author(s):

M. P. Calvo ◽

J. M. Sanz-Serna

Keyword(s):

Nyström Methods ◽

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Explicit, high-order Runge-Kutta-Nyström methods for parallel computers

Applied Numerical Mathematics ◽

10.1016/0168-9274(93)90145-h ◽

1993 ◽

Vol 13 (1-3) ◽

pp. 221-240 ◽

Author(s):

B.P. Sommeijer

Keyword(s):

Parallel Computers ◽

Nyström Methods ◽

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On the numerical integration of orbital problems with high order Runge–Kutta–Nyström methods

Applied Numerical Mathematics ◽

10.1016/s0168-9274(99)00045-8 ◽

2000 ◽

Vol 35 (1) ◽

pp. 1-10 ◽

Author(s):

Ana B. González ◽

Pablo Martı́n ◽

David J. López

Keyword(s):

Numerical Integration ◽

Nyström Methods ◽

Orbital Problems ◽

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Algebraic conditions for high-order convergent deferred correction schemes based on Runge–Kutta–Nyström methods for second order boundary value problems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(01)00167-2 ◽

2002 ◽

Vol 42 (1-3) ◽

pp. 453-464

Author(s):

M. Van Daele ◽

T. Van Hecke

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Deferred Correction ◽

Nyström Methods ◽

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High order symplectic integrators based on continuous-stage Runge-Kutta-Nyström methods

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.06.031 ◽

2019 ◽

Vol 361 ◽

pp. 670-679 ◽

Author(s):

Wensheng Tang ◽

Yajuan Sun ◽

Jingjing Zhang

Keyword(s):

Symplectic Integrators ◽

Nyström Methods ◽

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Interpolating runge-kutta-nyström methods of high order

International Journal of Computer Mathematics ◽

10.1080/00207169308804178 ◽

1993 ◽

Vol 47 (3-4) ◽

pp. 209-217 ◽

Author(s):

Ch. Tsitouras ◽

G. Papageorgiou

Keyword(s):

Nyström Methods ◽

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Implicit High Order Strong Stability Preserving Runge-Kutta Time Discretizations

10.21236/ada495116 ◽

2009 ◽

Author(s):

Sigal Gottlieb

Keyword(s):

Strong Stability ◽

Strong Stability Preserving ◽

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Stepwise Global Error Control in an Explicit Runge-Kutta Method Using Local Extrapolation with High-Order Selective Quenching

Journal of Mathematics Research ◽

10.5539/jmr.v3n2p126 ◽

2011 ◽

Vol 3 (2) ◽

Author(s):

Justin Steven Prentice

Keyword(s):

Error Control ◽

Global Error ◽

Kutta Method ◽

Runge Kutta Method ◽

Runge Kutta ◽

Local Extrapolation

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